Showing posts with label evolution. Show all posts
Showing posts with label evolution. Show all posts

Introduction to Modeling for Biosciences Review

Introduction to Modeling for Biosciences
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This book is an ideal starting point for undergraduates, postgraduates and even researchers who want to learn the mathematical and computational techniques needed for the modelling of biological systems. The authors cover a wide range of techniques, from analytic approaches (deterministic equations, Markov Chains, master equation) to simulation based ones (agent based models and stochastic simulation algorithms). In particular, I found this book very useful in reviewing various stochastic algorithms needed to simulate biological systems (such as agent based models and Gillespie algorithms), but also in providing Java implementation for the algorithms. The authors' style is clear and this is very helpful for beginners.

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Mathematical modeling can be a useful tool for researchers in the biological scientists.Yet in biological modeling there is no one modeling technique that is suitable for all problems. Instead, different problems call for different approaches. Furthermore, it can be helpful to analyze the same system using a variety of approaches, to be able to exploit the advantages and drawbacks of each. In practice, it is often unclear which modeling approaches will be most suitable for a particular biological question, a problem which requires researchers to know a reasonable amount about a number of techniques, rather than become experts on a single one."Introduction to Modeling for Biosciences" addresses this issue by presenting a broad overview of the most important techniques used to model biological systems.In addition to providing an introduction into the use of a wide range of software tools and modeling environments, this helpful text/reference describes the constraints and difficulties that each modeling technique presents in practice, enabling the researcher to quickly determine which software package would be most useful for their particular problem.Topics and features: introduces a basic array of techniques to formulate models of biological systems, and to solve them; intersperses the text with exercises throughout the book; includes practical introductions to the Maxima computer algebra system, the PRISM model checker, and the Repast Simphony agent modeling environment; discusses agent-based models, stochastic modeling techniques, differential equations and Gillespie's stochastic simulation algorithm; contains appendices on Repast batch running, rules of differentiation and integration, Maxima and PRISM notation, and some additional mathematical concepts; supplies source code for many of the example models discussed, at the associated website http://www.cs.kent.ac.uk/imb/.This unique and practical guide leads the novice modeler through realistic and concrete modeling projects, highlighting and commenting on the process of abstracting the real system into a model.Students and active researchers in the biosciences will also benefit from the discussions of the high-quality, tried-and-tested modeling tools described in the book.Dr. David J. Barnes is a lecturer in computer science at the University of Kent, UK, with a strong background in the teaching of programming.Dr. Dominique Chu is a lecturer in computer science at the University of Kent, UK.He is an internationally recognized expert in agent-based modeling, and has also in-depth research experience in stochastic and differential equation based modeling.

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A Biologist's Guide to Mathematical Modeling in Ecology and Evolution Review

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution
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Although other books may have a better presentation of the models' use and context, this is the best presentation I have seen on stability analysis, plus it presents a good quantity of model examples. The presentation of the math used is ample and clear. I highly reccomend it.

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Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own.

The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction.

Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists.

A how-to guide for developing new mathematical models in biology
Provides step-by-step recipes for constructing and analyzing models
Interesting biological applications
Explores classical models in ecology and evolution
Questions at the end of every chapter
Primers cover important mathematical topics
Exercises with answers
Appendixes summarize useful rules
Labs and advanced material available


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Stats: Modeling the World (3rd Edition) Review

Stats: Modeling the World (3rd Edition)
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I have taught AP Stats for several years suffering through with a book I really hated. I felt that perhaps it was the subject though I continued to think Stats was really an awesome course. Now that I have my hands on this book, I have read every word on every page (the humor is most appreciated), truly reviewing the book to determine if I wanted to adopt it for my school. Not only am I planning on using it for my AP Stats class, I am going to use it in my regular class as well. It just makes such sense--and when it doesn't (because Stats is notoriously vague on some concepts--like why we divide by n-1 for s) the authors admit that though many have offered explanations, the reason is more likely just to drive you crazy. I've honestly never actually read a text and enjoyed it so thoroughly--now my husband REALLY thinks I'm a math nerd. I love, love, love this book. If it had a facebook page, I'd be a fan.

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KEY BENEFIT: By leading with practical data analysis and graphics, Stats: Modeling the World, Third Edition, engages students and gets them to do statistics and think statistically from the start. With the authors' signature Think, Show, Tell problem-solving method, students learn what we can find in data, why we find it interesting and how to report it to others. Instructors praise this text as clear and accessible, while students report that they actually enjoy reading the book while learning how to do statistics. Additional examples with updated data make this new edition even easier to read and use.

EXPLORING AND UNDERSTANDING DATA; Stats Start Here; Data; Displaying and Describing Categorical Data; Displaying and Comparing Qualitative Data; Understanding and Comparing Distributions; The Standard Deviation as a Ruler and the Normal Model; EXPLORING RELATIONSHIPS BETWEEN VARIABLES; Scatterplots, Association, and Correlation; Linear Regression; Regression Wisdom; Re-expressing Data: Get it Straight!; GATHERING DATA; Understanding Randomness; Sample Surveys; Experiments and Observational Studies; RANDOMNESS AND PROBABILITY; From Randomness to Probability; Probability Rules!; Random Variables; Probability Models; FROM THE DATA AT HAND TO THE WORLD AT LARGE; Sampling Distribution Models; Confidence Intervals for Proportions; Testing Hypotheses About Proportions; More About Tests and Intervals; Comparing Two Proportions; LEARNING ABOUT THE WORLD; Inferences about Means; Comparing Means; Paired Samples and Blocks; INFERENCE WHEN VARIABLES ARE RELATED; Comparing Counts; Inferences for Regression; Analysis of Variance (on DVD); Multiple Regression (on DVD)

For all readers interested in introductory statistics.

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